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Distribution of Geometrically Weighted Sum of Bernoulli Random Variables
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Applied Mathematics·Volume 02 (2011)·Pages 1382–1386·Published 30 November 2011·DOI10.4236/am.2011.211195
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Abstract
A new class of distributions over (0,1) is obtained by considering geometrically weighted sum of independent identically distributed (i.i.d.) Bernoulli random variables. An expression for the distribution function (d.f.) is derived and some properties are established. This class of distributions includes U(0,1) distribution.
KeywordsBinary RepresentationProbability Mass FunctionDistribution FunctionCharacteristic Function
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